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Reliable Methods for Computer Simulation: Error Control and Posteriori Estimates
     

Reliable Methods for Computer Simulation: Error Control and Posteriori Estimates

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by Pekka Neittaanmäki
 

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Recent decades have seen a very rapid success in developing numerical methods based on explicit control over approximation errors. It may be said that nowadays a new direction is forming in numerical analysis, the main goal of which is to develop methods ofreliable computations. In general, a reliable numerical method must solve two basic problems: (a) generate a

Overview

Recent decades have seen a very rapid success in developing numerical methods based on explicit control over approximation errors. It may be said that nowadays a new direction is forming in numerical analysis, the main goal of which is to develop methods ofreliable computations. In general, a reliable numerical method must solve two basic problems: (a) generate a sequence of approximations that converges to a solution and (b) verify the accuracy of these approximations. A computer code for such a method must consist of two respective blocks: solver and checker.In this book, we are chiefly concerned with the problem (b) and try to present the main approaches developed for a posteriori error estimation in various problems.The authors try to retain a rigorous mathematical style, however, proofs are constructive whenever possible and additional mathematical knowledge is presented when necessary. The book contains a number of new mathematical results and lists a posteriori error estimation methods that have been developed in the very recent time.

Product Details

ISBN-13:
9780080540504
Publisher:
Elsevier Science
Publication date:
09/04/2004
Series:
Studies in Mathematics and its Applications , #33
Sold by:
Barnes & Noble
Format:
NOOK Book
Pages:
316
File size:
8 MB

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Reliable Methods for Computer Simulation: Error Control and Posteriori Estimates 5 out of 5 based on 0 ratings. 1 reviews.
Anonymous More than 1 year ago
Wanna hear about yesterday.